{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Listed Volatility and Variance Derivatives\n",
    "\n",
    "**Dr. Yves J. Hilpisch &mdash; Wiley Finance (2016)**\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/lvvd_cover.png\" alt=\"Derivatives Analytics with Python\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data Analysis and Strategies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Retrieving Base Data"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "\n",
    "import warnings; warnings.simplefilter('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "path = 'data/'  # path to data folder"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### EURO STOXX 50 Data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "source = 'https://www.stoxx.com/document/Indices/Current/HistoricalData/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "es_url = source + 'hbrbcpe.txt'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PriceIndices-EUROCurrency\n",
      "Date;Blue-Chip;Blue-Chip;Broad;Broad;ExUK;ExEuroZone;Blue-Chip;Broad\n",
      ";Europe;Euro-Zone;Europe;Euro-Zone;;;Nordic;Nordic\n",
      ";SX5P;SX5E;SXXP;SXXE;SXXF;SXXA;DK5F;DKXF\n",
      "31.12.1986;775.00;900.82;82.76;98.58;98.06;69.06;645.26;65.56\n",
      "01.01.1987;775.00;900.82;82.76;98.58;98.06;69.06;645.26;65.56\n",
      "02.01.1987;770.89;891.78;82.57;97.80;97.43;69.37;647.62;65.81\n",
      "05.01.1987;771.89;898.33;82.82;98.60;98.19;69.16;649.94;65.82\n",
      "06.01.1987;775.92;902.32;83.28;99.19;98.83;69.50;652.49;66.06\n",
      "07.01.1987;781.21;899.15;83.78;98.96;98.62;70.59;651.97;66.20\n",
      "08.01.1987;777.62;887.37;83.52;97.87;97.68;71.01;645.57;65.62\n",
      "09.01.1987;769.80;868.31;83.03;96.31;96.22;71.40;638.03;65.14\n"
     ]
    }
   ],
   "source": [
    "import requests\n",
    "print requests.get(es_url).text[:1000].replace(' ', '')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "## new column names (without white space)\n",
    "## adding column 'DEL' -- to be deleted after parsing\n",
    "columns = ['Date', 'SX5P', 'SX5E', 'SXXP', 'SXXE',\n",
    "           'SXXF', 'SXXA', 'DK5F', 'DKXF', 'DEL']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "es = pd.read_csv(es_url,  # url/filename\n",
    "                 index_col=0,  # index column (dates)\n",
    "                 parse_dates=True,  # parse date information\n",
    "                 dayfirst=True,  # day before month\n",
    "                 header=None,  # ignore header information\n",
    "                 skiprows=4,  # ignore first 4 rows\n",
    "                 names=columns,  # use custom column names\n",
    "                 sep=';')  # separator character"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "del es['DEL']  # deletes helper column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SX5P</th>\n",
       "      <th>SX5E</th>\n",
       "      <th>SXXP</th>\n",
       "      <th>SXXE</th>\n",
       "      <th>SXXF</th>\n",
       "      <th>SXXA</th>\n",
       "      <th>DK5F</th>\n",
       "      <th>DKXF</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-12-24</th>\n",
       "      <td>3108.11</td>\n",
       "      <td>3284.47</td>\n",
       "      <td>366.28</td>\n",
       "      <td>346.05</td>\n",
       "      <td>433.43</td>\n",
       "      <td>375.39</td>\n",
       "      <td>9931.72</td>\n",
       "      <td>614.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-28</th>\n",
       "      <td>3093.61</td>\n",
       "      <td>3256.49</td>\n",
       "      <td>364.49</td>\n",
       "      <td>343.54</td>\n",
       "      <td>431.26</td>\n",
       "      <td>374.32</td>\n",
       "      <td>9873.94</td>\n",
       "      <td>611.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-29</th>\n",
       "      <td>3139.28</td>\n",
       "      <td>3314.28</td>\n",
       "      <td>369.68</td>\n",
       "      <td>349.29</td>\n",
       "      <td>438.43</td>\n",
       "      <td>378.86</td>\n",
       "      <td>10023.66</td>\n",
       "      <td>620.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-30</th>\n",
       "      <td>3118.07</td>\n",
       "      <td>3287.98</td>\n",
       "      <td>367.70</td>\n",
       "      <td>347.02</td>\n",
       "      <td>435.82</td>\n",
       "      <td>377.20</td>\n",
       "      <td>9956.22</td>\n",
       "      <td>617.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-31</th>\n",
       "      <td>3100.26</td>\n",
       "      <td>3267.52</td>\n",
       "      <td>365.81</td>\n",
       "      <td>345.16</td>\n",
       "      <td>433.81</td>\n",
       "      <td>375.34</td>\n",
       "      <td>9978.59</td>\n",
       "      <td>618.73</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               SX5P     SX5E    SXXP    SXXE    SXXF    SXXA      DK5F    DKXF\n",
       "Date                                                                          \n",
       "2015-12-24  3108.11  3284.47  366.28  346.05  433.43  375.39   9931.72  614.38\n",
       "2015-12-28  3093.61  3256.49  364.49  343.54  431.26  374.32   9873.94  611.58\n",
       "2015-12-29  3139.28  3314.28  369.68  349.29  438.43  378.86  10023.66  620.66\n",
       "2015-12-30  3118.07  3287.98  367.70  347.02  435.82  377.20   9956.22  617.48\n",
       "2015-12-31  3100.26  3267.52  365.81  345.16  433.81  375.34   9978.59  618.73"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "es = es[es.index <= '2015-12-31']  # data until the end of 2015\n",
    "es.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 7476 entries, 1986-12-31 to 2015-12-31\n",
      "Data columns (total 8 columns):\n",
      "SX5P    7476 non-null float64\n",
      "SX5E    7476 non-null float64\n",
      "SXXP    7476 non-null float64\n",
      "SXXE    7476 non-null float64\n",
      "SXXF    7476 non-null float64\n",
      "SXXA    7476 non-null float64\n",
      "DK5F    7476 non-null float64\n",
      "DKXF    7476 non-null float64\n",
      "dtypes: float64(8)\n",
      "memory usage: 525.7 KB\n"
     ]
    }
   ],
   "source": [
    "es.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WzeF+ItdvRRWz2YKn3tvu0FZvS1zqPIWo1yjV1NFhwqiBBcr9SyZZg7Lexa6jYUShwEXz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\n0/GTCwZ6ODt4tH7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1mpnJQ2M/2akn8peSQO+JeObDnS5tSYkGPPKv7x3adh0561fAtXGv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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a67da50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns; sns.set()\n",
    "import matplotlib\n",
    "matplotlib.rcParams['font.family'] = 'serif'  # set serif font\n",
    "%matplotlib inline\n",
    "es['SX5E'].plot(grid=True, figsize=(10, 6));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### VSTOXX Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "vs_url = source + 'h_vstoxx.txt'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Date,V2TX,V6I1,V6I2,V6I3,V6I4,V6I5,V6I6,V6I7,V6I8\r\n",
      "04.01.1999,18.2033,21.2458,17.5555,31.2179,33.3124,33.7327,33.2232,31.8535,23.8209\r\n",
      "05.01.1999,29.6912,36.6400,28.4274,32.6922,33.7326,33.1724,32.8457,32.2904,25.0532\r\n",
      "06.01.1999,25.1670,25.4107,25.1351,32.2186,32.6459,31.9673,32.9260,33.2871,26.0107\r\n",
      "07.01.1999,32.5205,35.4410,32.2004,36.1265,34.5150,33.1095,33.2843,33.7269,26.2205\r\n",
      "08.01.1999,33.2296,35.8846,33.0020,36.0813,36.3964,33.4658,33.4837,33.9227,26.3672\r\n",
      "11.01.1999,36.8411,46.9742,36.4643,39.9139,38.0755,34.6165,34.4576,34.6615,26.6732\r\n",
      "12.01.1999,37.5664,48.6277,37.2998,40.5525,38.7981,35.0575,37.5290,36.5965,28.0273\r\n",
      "13.01.1999,39.7373,55.2934,39.5218,43.0083,40.1301,36.0443,38.3889,37.2219,28.1443\r\n",
      "14.01.1999,39.1373,NA,39.9544,41.7597,40.5913,36.3330,38.6781,37.4249,28.1515\r\n",
      "15.01.1999,38.6741,NA,39.0602,40.1232,39.2451,35.9745,37.7796,36.7660,28.0793\r\n"
     ]
    }
   ],
   "source": [
    "print(requests.get(vs_url).text[160:1040])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "vs = pd.read_csv(vs_url,  # url/filename\n",
    "                 index_col=0,  # index column (dates)\n",
    "                 parse_dates=True,  # parse date information\n",
    "                 dayfirst=True, # day before month\n",
    "                 header=2)  # header/column names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 4327 entries, 1999-01-04 to 2015-12-30\n",
      "Data columns (total 9 columns):\n",
      "V2TX    4327 non-null float64\n",
      "V6I1    3878 non-null float64\n",
      "V6I2    4327 non-null float64\n",
      "V6I3    4267 non-null float64\n",
      "V6I4    4327 non-null float64\n",
      "V6I5    4327 non-null float64\n",
      "V6I6    4310 non-null float64\n",
      "V6I7    4327 non-null float64\n",
      "V6I8    4313 non-null float64\n",
      "dtypes: float64(9)\n",
      "memory usage: 338.0 KB\n"
     ]
    }
   ],
   "source": [
    "vs = vs[vs.index <= '2015-12-31']\n",
    "vs.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IUZdO5G0dffjbE28y8zKpegwHE95Lq3YxaLWI7NjbC4DCKQkWClBVSLFNeEPD9mpwt07k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\nr3y4LpgqUFNbH1Hwsqy4PT+Z0Z+BZqT7H46OCgCVPbzZ1D5HXXL3O8H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f1t8uGhl+H0P6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\nEARBEAQhTv4fsKj4JFWGbAQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cc68690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vs['V2TX'].plot(grid=True, figsize=(10, 6));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Combining the Data Sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import datetime as dt\n",
    "data = pd.DataFrame({'EUROSTOXX':\n",
    "            es['SX5E'][es.index > dt.datetime(1999, 1, 1)],\n",
    "                   'VSTOXX': \n",
    "            vs['V2TX'][vs.index > dt.datetime(1999, 1, 1)]})\n",
    "data = data.dropna()  # deletes those rows with NaN values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 4326 entries, 1999-01-04 to 2015-12-30\n",
      "Data columns (total 2 columns):\n",
      "EUROSTOXX    4326 non-null float64\n",
      "VSTOXX       4326 non-null float64\n",
      "dtypes: float64(2)\n",
      "memory usage: 101.4 KB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SX5P</th>\n",
       "      <th>SX5E</th>\n",
       "      <th>SXXP</th>\n",
       "      <th>SXXE</th>\n",
       "      <th>SXXF</th>\n",
       "      <th>SXXA</th>\n",
       "      <th>DK5F</th>\n",
       "      <th>DKXF</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-12-17</th>\n",
       "      <td>3095.83</td>\n",
       "      <td>3306.47</td>\n",
       "      <td>364.90</td>\n",
       "      <td>347.46</td>\n",
       "      <td>433.96</td>\n",
       "      <td>371.43</td>\n",
       "      <td>9857.04</td>\n",
       "      <td>610.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-18</th>\n",
       "      <td>3065.07</td>\n",
       "      <td>3260.72</td>\n",
       "      <td>361.23</td>\n",
       "      <td>343.23</td>\n",
       "      <td>429.32</td>\n",
       "      <td>368.38</td>\n",
       "      <td>9722.97</td>\n",
       "      <td>602.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-21</th>\n",
       "      <td>3022.51</td>\n",
       "      <td>3213.01</td>\n",
       "      <td>357.15</td>\n",
       "      <td>338.55</td>\n",
       "      <td>424.21</td>\n",
       "      <td>364.99</td>\n",
       "      <td>9707.52</td>\n",
       "      <td>601.18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-22</th>\n",
       "      <td>3019.26</td>\n",
       "      <td>3214.32</td>\n",
       "      <td>356.87</td>\n",
       "      <td>338.77</td>\n",
       "      <td>423.95</td>\n",
       "      <td>364.23</td>\n",
       "      <td>9691.72</td>\n",
       "      <td>599.53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-23</th>\n",
       "      <td>3109.23</td>\n",
       "      <td>3286.68</td>\n",
       "      <td>366.39</td>\n",
       "      <td>346.14</td>\n",
       "      <td>433.58</td>\n",
       "      <td>375.53</td>\n",
       "      <td>9927.33</td>\n",
       "      <td>614.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-24</th>\n",
       "      <td>3108.11</td>\n",
       "      <td>3284.47</td>\n",
       "      <td>366.28</td>\n",
       "      <td>346.05</td>\n",
       "      <td>433.43</td>\n",
       "      <td>375.39</td>\n",
       "      <td>9931.72</td>\n",
       "      <td>614.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-28</th>\n",
       "      <td>3093.61</td>\n",
       "      <td>3256.49</td>\n",
       "      <td>364.49</td>\n",
       "      <td>343.54</td>\n",
       "      <td>431.26</td>\n",
       "      <td>374.32</td>\n",
       "      <td>9873.94</td>\n",
       "      <td>611.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-29</th>\n",
       "      <td>3139.28</td>\n",
       "      <td>3314.28</td>\n",
       "      <td>369.68</td>\n",
       "      <td>349.29</td>\n",
       "      <td>438.43</td>\n",
       "      <td>378.86</td>\n",
       "      <td>10023.66</td>\n",
       "      <td>620.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-30</th>\n",
       "      <td>3118.07</td>\n",
       "      <td>3287.98</td>\n",
       "      <td>367.70</td>\n",
       "      <td>347.02</td>\n",
       "      <td>435.82</td>\n",
       "      <td>377.20</td>\n",
       "      <td>9956.22</td>\n",
       "      <td>617.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-31</th>\n",
       "      <td>3100.26</td>\n",
       "      <td>3267.52</td>\n",
       "      <td>365.81</td>\n",
       "      <td>345.16</td>\n",
       "      <td>433.81</td>\n",
       "      <td>375.34</td>\n",
       "      <td>9978.59</td>\n",
       "      <td>618.73</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               SX5P     SX5E    SXXP    SXXE    SXXF    SXXA      DK5F    DKXF\n",
       "Date                                                                          \n",
       "2015-12-17  3095.83  3306.47  364.90  347.46  433.96  371.43   9857.04  610.15\n",
       "2015-12-18  3065.07  3260.72  361.23  343.23  429.32  368.38   9722.97  602.49\n",
       "2015-12-21  3022.51  3213.01  357.15  338.55  424.21  364.99   9707.52  601.18\n",
       "2015-12-22  3019.26  3214.32  356.87  338.77  423.95  364.23   9691.72  599.53\n",
       "2015-12-23  3109.23  3286.68  366.39  346.14  433.58  375.53   9927.33  614.12\n",
       "2015-12-24  3108.11  3284.47  366.28  346.05  433.43  375.39   9931.72  614.38\n",
       "2015-12-28  3093.61  3256.49  364.49  343.54  431.26  374.32   9873.94  611.58\n",
       "2015-12-29  3139.28  3314.28  369.68  349.29  438.43  378.86  10023.66  620.66\n",
       "2015-12-30  3118.07  3287.98  367.70  347.02  435.82  377.20   9956.22  617.48\n",
       "2015-12-31  3100.26  3267.52  365.81  345.16  433.81  375.34   9978.59  618.73"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "es.iloc[-10:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>V2TX</th>\n",
       "      <th>V6I1</th>\n",
       "      <th>V6I2</th>\n",
       "      <th>V6I3</th>\n",
       "      <th>V6I4</th>\n",
       "      <th>V6I5</th>\n",
       "      <th>V6I6</th>\n",
       "      <th>V6I7</th>\n",
       "      <th>V6I8</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-12-15</th>\n",
       "      <td>27.46</td>\n",
       "      <td>41.71</td>\n",
       "      <td>27.41</td>\n",
       "      <td>26.63</td>\n",
       "      <td>26.72</td>\n",
       "      <td>26.66</td>\n",
       "      <td>26.41</td>\n",
       "      <td>26.36</td>\n",
       "      <td>27.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-16</th>\n",
       "      <td>25.44</td>\n",
       "      <td>49.12</td>\n",
       "      <td>25.44</td>\n",
       "      <td>25.21</td>\n",
       "      <td>25.34</td>\n",
       "      <td>25.57</td>\n",
       "      <td>25.54</td>\n",
       "      <td>25.77</td>\n",
       "      <td>26.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-17</th>\n",
       "      <td>22.58</td>\n",
       "      <td>NaN</td>\n",
       "      <td>22.50</td>\n",
       "      <td>23.47</td>\n",
       "      <td>23.94</td>\n",
       "      <td>24.80</td>\n",
       "      <td>25.01</td>\n",
       "      <td>25.34</td>\n",
       "      <td>26.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-18</th>\n",
       "      <td>23.90</td>\n",
       "      <td>NaN</td>\n",
       "      <td>23.76</td>\n",
       "      <td>24.78</td>\n",
       "      <td>25.06</td>\n",
       "      <td>25.80</td>\n",
       "      <td>25.75</td>\n",
       "      <td>25.91</td>\n",
       "      <td>26.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-21</th>\n",
       "      <td>23.88</td>\n",
       "      <td>23.56</td>\n",
       "      <td>24.62</td>\n",
       "      <td>24.99</td>\n",
       "      <td>25.80</td>\n",
       "      <td>25.87</td>\n",
       "      <td>26.04</td>\n",
       "      <td>26.64</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-22</th>\n",
       "      <td>22.54</td>\n",
       "      <td>21.92</td>\n",
       "      <td>23.64</td>\n",
       "      <td>24.14</td>\n",
       "      <td>25.25</td>\n",
       "      <td>25.31</td>\n",
       "      <td>25.64</td>\n",
       "      <td>26.04</td>\n",
       "      <td>26.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-23</th>\n",
       "      <td>20.25</td>\n",
       "      <td>19.42</td>\n",
       "      <td>21.45</td>\n",
       "      <td>22.24</td>\n",
       "      <td>24.01</td>\n",
       "      <td>24.46</td>\n",
       "      <td>24.84</td>\n",
       "      <td>25.65</td>\n",
       "      <td>25.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-28</th>\n",
       "      <td>22.45</td>\n",
       "      <td>21.43</td>\n",
       "      <td>23.08</td>\n",
       "      <td>23.65</td>\n",
       "      <td>24.70</td>\n",
       "      <td>24.91</td>\n",
       "      <td>25.25</td>\n",
       "      <td>25.46</td>\n",
       "      <td>25.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-29</th>\n",
       "      <td>21.61</td>\n",
       "      <td>20.56</td>\n",
       "      <td>22.14</td>\n",
       "      <td>22.87</td>\n",
       "      <td>24.31</td>\n",
       "      <td>24.59</td>\n",
       "      <td>25.06</td>\n",
       "      <td>25.65</td>\n",
       "      <td>25.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-30</th>\n",
       "      <td>22.17</td>\n",
       "      <td>21.13</td>\n",
       "      <td>22.64</td>\n",
       "      <td>23.33</td>\n",
       "      <td>24.64</td>\n",
       "      <td>24.72</td>\n",
       "      <td>25.15</td>\n",
       "      <td>25.48</td>\n",
       "      <td>25.16</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             V2TX   V6I1   V6I2   V6I3   V6I4   V6I5   V6I6   V6I7   V6I8\n",
       "Date                                                                     \n",
       "2015-12-15  27.46  41.71  27.41  26.63  26.72  26.66  26.41  26.36  27.44\n",
       "2015-12-16  25.44  49.12  25.44  25.21  25.34  25.57  25.54  25.77  26.65\n",
       "2015-12-17  22.58    NaN  22.50  23.47  23.94  24.80  25.01  25.34  26.24\n",
       "2015-12-18  23.90    NaN  23.76  24.78  25.06  25.80  25.75  25.91  26.54\n",
       "2015-12-21  23.88  23.56  24.62  24.99  25.80  25.87  26.04  26.64    NaN\n",
       "2015-12-22  22.54  21.92  23.64  24.14  25.25  25.31  25.64  26.04  26.05\n",
       "2015-12-23  20.25  19.42  21.45  22.24  24.01  24.46  24.84  25.65  25.44\n",
       "2015-12-28  22.45  21.43  23.08  23.65  24.70  24.91  25.25  25.46  25.34\n",
       "2015-12-29  21.61  20.56  22.14  22.87  24.31  24.59  25.06  25.65  25.26\n",
       "2015-12-30  22.17  21.13  22.64  23.33  24.64  24.72  25.15  25.48  25.16"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.round(vs, 2).iloc[-10:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-12-15</th>\n",
       "      <td>3241.51</td>\n",
       "      <td>27.4591</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-16</th>\n",
       "      <td>3246.78</td>\n",
       "      <td>25.4362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-17</th>\n",
       "      <td>3306.47</td>\n",
       "      <td>22.5761</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-18</th>\n",
       "      <td>3260.72</td>\n",
       "      <td>23.8989</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-21</th>\n",
       "      <td>3213.01</td>\n",
       "      <td>23.8836</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-22</th>\n",
       "      <td>3214.32</td>\n",
       "      <td>22.5361</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-23</th>\n",
       "      <td>3286.68</td>\n",
       "      <td>20.2504</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-28</th>\n",
       "      <td>3256.49</td>\n",
       "      <td>22.4544</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-29</th>\n",
       "      <td>3314.28</td>\n",
       "      <td>21.6067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-30</th>\n",
       "      <td>3287.98</td>\n",
       "      <td>22.1745</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            EUROSTOXX   VSTOXX\n",
       "Date                          \n",
       "2015-12-15    3241.51  27.4591\n",
       "2015-12-16    3246.78  25.4362\n",
       "2015-12-17    3306.47  22.5761\n",
       "2015-12-18    3260.72  23.8989\n",
       "2015-12-21    3213.01  23.8836\n",
       "2015-12-22    3214.32  22.5361\n",
       "2015-12-23    3286.68  20.2504\n",
       "2015-12-28    3256.49  22.4544\n",
       "2015-12-29    3314.28  21.6067\n",
       "2015-12-30    3287.98  22.1745"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.iloc[-10:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Saving the Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "h5 = pd.HDFStore(path + 'es_vs_data.h5', 'w')\n",
    "h5['es'] = es\n",
    "h5['vs'] = vs\n",
    "h5['data'] = data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<class 'pandas.io.pytables.HDFStore'>\n",
       "File path: data/es_vs_data.h5\n",
       "/data            frame        (shape->[4326,2])\n",
       "/es              frame        (shape->[7476,8])\n",
       "/vs              frame        (shape->[4327,9])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "h5.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic Data Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "h5 = pd.HDFStore(path  + 'es_vs_data.h5', 'r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<class 'pandas.io.pytables.HDFStore'>\n",
       "File path: data/es_vs_data.h5\n",
       "/data            frame        (shape->[4326,2])\n",
       "/es              frame        (shape->[7476,8])\n",
       "/vs              frame        (shape->[4327,9])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "es = h5['es']\n",
    "vs = h5['vs']\n",
    "data = h5['data']\n",
    "h5.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>4326.000000</td>\n",
       "      <td>4326.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3265.935767</td>\n",
       "      <td>25.209891</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>770.513845</td>\n",
       "      <td>9.670981</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1809.980000</td>\n",
       "      <td>11.596600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2692.385000</td>\n",
       "      <td>18.670200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>3089.965000</td>\n",
       "      <td>23.162700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3725.357500</td>\n",
       "      <td>28.310725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>5464.430000</td>\n",
       "      <td>87.512700</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         EUROSTOXX       VSTOXX\n",
       "count  4326.000000  4326.000000\n",
       "mean   3265.935767    25.209891\n",
       "std     770.513845     9.670981\n",
       "min    1809.980000    11.596600\n",
       "25%    2692.385000    18.670200\n",
       "50%    3089.965000    23.162700\n",
       "75%    3725.357500    28.310725\n",
       "max    5464.430000    87.512700"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NGpTu81ghtlu7d1t49NEoDh/WZ/QjR4yZvVYtfUAzMyHbx6d2wIBorr02jm+/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fsb6e/339Xbc+eG/luHw/9ztGsnH2cwqH83dSr//8YbgcuiVi3184oif2fSvpMnfe+pVi3tcwXq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\nK5gLLjMzM7OCueAyMzMzK9j/AX/6SXc+LdN3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e710690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot(subplots=True,  # generate sub-plots per column\n",
    "              figsize=(10, 6),  # sizing of the figure\n",
    "              color='blue');  # color to plot the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nlOKrgLcCL4iIbRQd5N8HbI+IADYAWwEy88GI2BURN1GMUrw6Mw9VFr0kaQka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\niplwSZIkVcyES5IkqWImXJIkSRX7/wEL8c71MURh2QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cc47b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.diff().hist(figsize=(10, 6),  # figure sizing\n",
    "                 color='blue',  # color for the plotted data\n",
    "                 bins=100);  # number of bins to be used"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-12-15</th>\n",
       "      <td>0.032578</td>\n",
       "      <td>-0.097067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-16</th>\n",
       "      <td>0.001626</td>\n",
       "      <td>-0.073670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-17</th>\n",
       "      <td>0.018384</td>\n",
       "      <td>-0.112442</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-18</th>\n",
       "      <td>-0.013837</td>\n",
       "      <td>0.058593</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-21</th>\n",
       "      <td>-0.014632</td>\n",
       "      <td>-0.000640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-22</th>\n",
       "      <td>0.000408</td>\n",
       "      <td>-0.056419</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-23</th>\n",
       "      <td>0.022512</td>\n",
       "      <td>-0.101424</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-28</th>\n",
       "      <td>-0.009186</td>\n",
       "      <td>0.108837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-29</th>\n",
       "      <td>0.017746</td>\n",
       "      <td>-0.037752</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-30</th>\n",
       "      <td>-0.007935</td>\n",
       "      <td>0.026279</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            EUROSTOXX    VSTOXX\n",
       "Date                           \n",
       "2015-12-15   0.032578 -0.097067\n",
       "2015-12-16   0.001626 -0.073670\n",
       "2015-12-17   0.018384 -0.112442\n",
       "2015-12-18  -0.013837  0.058593\n",
       "2015-12-21  -0.014632 -0.000640\n",
       "2015-12-22   0.000408 -0.056419\n",
       "2015-12-23   0.022512 -0.101424\n",
       "2015-12-28  -0.009186  0.108837\n",
       "2015-12-29   0.017746 -0.037752\n",
       "2015-12-30  -0.007935  0.026279"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.pct_change().ix[-10:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Iyq4uy9cyOUnbVZZJ0rS81Kg5avbL2FNrFNJiy8xtLXdvATaVt3cAq1q2rS7L\nZjQwsGrmnWpUVXw7d65ctMdes2Zlra+z7/H89UKMc2HiJUkHWta8ERFXZuYF5d3jgeHy9g3AheU+\nhwInALd38uDj493bDWxgYFVl8U1M7AEWJ/mamNhT2+tc5Ws4F90eH3R/jPNJCk28JKkUES8D3gA8\nKyI2A+8HnoyIq4Bx4AXAWwAy886IuDUiLqUY1Xh+Zu6qKXRJPcLES5JKmXk7B7Zavecg+29Z3Igk\n9Rs710uSJFXExEuSJKkiJl6SJEkVMfGSJEmqiImXJElSRUy8+lCj0WB4+H7GxrbXHYokSWrhdBJ9\naHR0hMHBcWCi7lAkSVILE68+0mg0GB0dKVu6Tqw7HEmS1MbEq4/Y0iVJUncz8eo762feRZIk1cLO\n9ZIkSRUx8ZIkSaqIiZckSVJFTLwkSZIqYuIlSZJUERMvSZKkijidhCSpzzT2LZm2bt0Gli9fXnM8\n0n62eEmS+szDDA2tYHBwnNHRkbqDkSaxxUvz4K9KSd2qOZn0nlqjkNrZ4qV5GPNXpaQ5aTT2/3CT\nlhITL83TelymSNJsjY6OMDT0jbrDkCpn4iVJqsmRdQcgVW7GPl4RcSRwCXBSZp5clh0BXA6MAMcC\nmzNzvNy2CVgNHA7clJnXLVLskiRJPaWTFq9TgM+2lV1GkVRdUW7bAhARJwOnZ+YfAecBWyJi1QLG\nK0mS1LNmTLwy81PA7rbiM4Gt5e07gFeXtzc2yzOzAWwDTluQSCVJknrcXPt4rWV/MrYLOCIiDmkr\nb25bO/fwJEmS+sdc5/F6BFhFkVitBnZm5lMRsaMsb1oN7OjkAQcGev+KZN3nsHPnytqee82albWf\nP9T/HsxXr8cvSTq42SRey1pu3wAMAtcCp5b3m+UXAkTEocAJwO2dPPj4ePvVzN4yMLCq9nOYmNgD\n1JN8TUzsqf38u+E9mI9ejx9MHCVpJp2ManwZ8AbgWRGxmaIj/XuAyyMigA3AJoDMvDMibo2ISylG\nNZ6fmbsWLXpJkqQeMmPilZm3c2Cr1RPAOdPsv2UB4pIkSeo7TqDaBxqNBsPD97v8hiRJXc5FsvvA\n6OgIg4PjwETdoUiSpIMw8eobrpcoSVK381KjJElSRWzxkqSSa9NKWmy2eEnSfq5N21cajI1tZ3j4\nfhqNRt3BSICJlyTt49q0/WaMoaEVDA6OMzo6UncwEmDiJUkzcW3anrYeBx+pm9jHq8c1Go1y/q4T\n6w5F6ledhieWAAAQvUlEQVRLbm3aKuKrem3ZqteT9T2ev16IcS5MvHrc6OgIQ0PfwMRLWlBLdm3a\nqtYMLdaWrU6V68l2+7qr3R4fdH+M80kKTbz6wpF1ByD1BdemXXyNRoPR0RFX2tCSZeIlSSXXpl18\nrrShpc7O9ZKkiq0HnlN3EFItTLwkSZIqYuIlSZJUEft4aUE0Gg2Gh+8HYN26DSxfvrzmiCRJ6j62\neGlBPPjg9xgcHHeGaEmSDsIWLy2g5uzQ1c7PI0lSr7DFS5IkqSImXloADR566KG6g5AkqeuZeGkB\njHHeeY/WHYQkSV3PxEsLxGWLJEmaiYmXJElSRUy8JEmSKmLiJUmSVBETL0mSpIo4gaokqc81GBvb\nDrikmepni5ckqc+NMTS0wiXN1BVs8ZIkLQEuaabuYIuXJElSRUy8JEmSKmLiJUmSVBETL0mSpIqY\neEmSJFXExEuSJKkiTichSVoinEhV9bPFS5K0RDiRqupni5ckaQlxIlXVy8SrxzQajX2/1Nat21Bz\nNJIkaTZMvHrM6OgIg4PjAGzdWnMwkiRpVuaVeEXEVuBxYBnwk8z8xYg4ArgcGAGOBTZn5vi8I1WL\n7m8qb2+ZsxOrJEnzb/H6XGZe3FZ2GXBTZl4bERuBLcAb5/k86jHtLXPHHHNczRFJqlPzx1gxqvDE\nusORajPfxOuFEfFOYAVwV2beCJwJXFJuvwP4yDyfQz2r+1vmJFVj/4+xibpDkWo138Tr8sy8OyIO\nAW6PiN3AALC73L4LODwiDsnMp+b5XJKknrZ+5l0qZJcI1WFeiVdm3l3+fSoivgy8HNgBrKJIulYD\nOztJugYGVs0nlK5QxTns3Lly3+01a1YeZM/6tMe1Zs3Kyt7fXv8c9Xr8Ui+xS4TqMOfEKyICOCUz\n/7IsOg74FHADMAhcC5xS3p/R+PjumXfqYgMDqxb1HA7sH9Hg3nu/s2jPNx8TE81Liyv33a/i/V3s\n92Cx9Xr8YOKoXmSXCFVrPi1eu4BXR8SzgZ8BxjLzoxHxOeDyMjHbAGxagDiXvAP7RxQzMMP3aoxK\nWjocxS1pIcw58crM7wOvnaJ8J3DOfILSdNr7RzTvj1Ych7QkOYpb0rw5gaoW2P5FaB0yrj7jKG5J\n82bipQXmJVD1LUdxS5o3Ey8tgu4aMi4thKU0insx4msdkd0NFnv09VJ8jxdaL8Q4FyZekjSDpTSK\ne7FG1xajnbsn+VrM0dfdPkK52+OD7o9xPkmhiZckzcxR3JIWhImXJM3AUdySFoqJlxbZ/lGOLskh\nqTs4+lr1MfHqcgfOWN9rmqMcx12SQ1qCurMOc/S16mPi1eUOnLG+F7kkh7RUdW8d5uhr1eOQugNQ\nJ9YDz6k7CEmao26vw4pLj41Go+5AtASYeEmSlrgxhoZ2MDo6UncgWgJMvCRJ4qi6A9ASYeLVpRqN\nBsPD97eMvJGk3mEdJk3NzvVdqns7pErSzKzDpKmZeHU1R91I6mXWYVI7LzVKkiRVxMRLkiSpIl5q\nVEVcOkiSJFu8VJFiiY7BwXHnypEkLVkmXl2o0Wj06RDs9djZVupvTiMhHZyXGrvQ6OgIQ0PfoHsW\nlF1IRVLp5UapPzmNhHRwtnh1rSPrDmCRuDSH1P+6fW3G6TVb7IaH73ftRi0KW7xUA5fmkNRtitb4\nsbHtDA2tAGDrVjjmmONqjkv9xsRLkiQeZmhoHfA99nfz2FNfOOpbJl6qgVNLSOpGDv7R4rOPl2rw\nsFNLSJKWJFu8VJPmL0ub8iVJS4eJVxdpNBqMjo4s2flvmucPXoKUJPUnE68aNBOMYqjyMpYvP4R1\n6zYs+flv9p+/o4kkSf3JxKsG+xOM79Gc62br1ubW5iW40crjql7Ryb6ZgD744HdxNJGkbmSLvBaK\niVdt1rf9XYqJxlg5X87XKRLQpdnSJ/W61qSk0Xiq5mgWR2uL/Fe+0tiXeJmEabZMvFSz9gRUUq/Z\nn5Q0uOqqB4BfrDukBTB52ptCUU89+OC3nGRVc2biJUlaAOuBBzjvvEfrDmSBNFvkx1u6grRaylcr\nNB/O4yVJWkD9tM7seg5sjW/w0EMP1RGM+oQtXgukubAqeM1//g6c2d6OrZLq0WiZ4udEYKyPWvVU\nBxOvBTI8PDzjVAiT5+k6sXVL2xd7qZvcxH/MMcc51YSkmjTro++1lPVTq56qZuK1oPZf85+qhWb6\nebqm+mIvdVP1n7BPhaQ6dDb4p1nv79y5ktWr19oyrymZeM1T84v2wx+O0/rlbB3lc8012znqqOcw\nNjYG/Ow0j+SoPkm9ZfpW/KWl9XXY31q/x5Z5TcnEaw7a56w59dRHKVqr2pOnYpTP/rmqHmT6xEsH\nas7w/1Tb5KrT7G0/O6kSByYaS3sOvslXM5wEWge3aIlXRPwCcBbwCEBmXrxYz1W11v5G11zzI2b+\npddMyH6ymGH1oTF+8ze/Daxif8V+YMf7pvZ+ds1lmJr7QvHemZRpIfVzXdfZ8mZLt6Vr+v6509dT\nDhTSoiReEXEY8GHg+Zn5k4i4NiJenpm3LsbzLYTWL8PRRz+P7353+wGVDTBFs/q3aol36TiSyS2J\nB3a8n2x/P7D2DvkAg4N32TlfC6YX67rZ6Gx5s6Vsuv65zfKH+djHRjj66HVTJK0zD8SCmZMzE7ne\ns1gtXoPAaGY2m3juAM4EKqmMfvCDH3LLLfeyevVhvOIVJ3d0zORWrO0tX6bJlc3kzvHN+VyW8i++\nOkzuZD9dP7up9oWjFj88LSW11nXVaF1dosHY2HfK+9Z7hekS0KKryf5W+6K/b2Hqy5EHXsKdeRS3\nI757z2IlXmuB3S33dwE/t0jPdYDbb/86b3rTS3j+82/lFa8oyjr7VVBULA89dAv7l7xo/497cuvL\ngfO5ODVENfYvsD02NsZv/dZKpu5nN83RbZdQYC/trZtFf7H9ZbP51QnM+hdrcyTUVMf6q7Zr1VrX\nTeXb376PH/3ox/zLf3ksK1asmHa/6T6z//zPhzEx8Riwd4oBQY7Anr1mq/0Dba/d/jqsWQftr8sm\n9xWb6vt/4MCG/UnxVHVQ8/7+5Y+qM9/6q9/qv8VKvHYAq1vury7LKnHYYYfy3OfewsqVo/s6Wxe/\nIIoQrrlmO8997vMmHVN8eIsvxXnnfRs4ltbKZWzsR+Wt1i9O8+8Dk8qGhn5C0d2jfd9HDth3+r/u\nO9O+xev8jXKfXy3LHwDa36/W+zsYG3uy5fPwCEXF2PzLvl+lQ0NfAl64r6z9M9Oq/fNVHD/95236\nY9dOeWzrPv6q7Sq11nVTedvbrmV8fIBzz01e9rIXTbvf9J/Z1u/EI0DzRw20XgWY/jvc3fVGvbFM\nfu3212Gtr/eBddlU/39NrsNWtDzejinroOL+/+aaa36OF73oRCYmquv8P9P/v1PZuXPlvhj7rf5b\ntnfv3gV/0LLfwz8CJ2bmkxFxLfDBfun3IElgXSdp9hYl8YJ9I31eR/Hr78nMfN+iPJEk1ci6TtJs\nLFriJUmSpMkOqTsASZKkpcLES5IkqSImXpIkSRUx8ZIkSapIZYtkR8QRwOXACMUkWZszc3yK/Y4B\n/oRidNBvtJQ/D7gQ+CdgHfCOzPxR+/GLaRbn8NsUkyj+BBjJzP9alv8ZEC27vjUzF33NoZnWkouI\nZ1C85g9SnNcVmXl/uW3Kc6nSPON/gOaEOPBgZr6hqrjbYpxxPb+I+A3gMuBtmXljS3nXvwflPtPF\n3xXvQV06rTfKfdcC9wCXZeaHuiW+iPh54NwythOAr2bmXyxyXHP+3lelgxgvoJik62Hg54E/yszs\nlvha9vtt4H8CK2v4f7WTuuWtFLNcrwd+JjN/r1vii4h1FJ/Dr1LU0x/NzOsO9phVtnhdBtyUmVcA\nnwW2TLPfS4Abpij/MPBnmXk58E3g3YsS5cHNeA4RcRSwKTM3Zea7gd8rk0mA72fmGS3/qki6mmvJ\nvb38wLwwIl7ettu5wPbytf0A8N87OJdKzCf+0l+1vN51JV0znkP55d0BjLWV98R7MF38pdrfg5p1\nVPdFxDLgfcBdFcYGncX3bOADmfl+4C3AlRGxZrECWoDv/aLrMMafzszzM/OPgU8Cf9xl8RERJwDP\np0hsKtVh3fLvgJ2Z+V8y83yK97pr4gMuAL6cmVcCVzB9brNPlYnXmUBzedXmemYHyMyPAk+2lkXE\n04CXZ+bXZjp+kXVyDr8M3N1yfyvwqvL26oj4g4i4ICJ+PyKqWPdgurXkWu07r8z8JsWHayUHP5eq\nzCX+k8r4AV4WEZsi4uKIGKwk4gPNeA6ZOZqZt1GsHdKqJ96Dg8QP3fEe1Kmjug94F/AXwA+qCKrF\njPFl5nWZ2fwcLqOoo59s328Bzafeqkon34uLWu4ewuTlpRbbjPGVicU7gfcy9Xd3sXXyPv82sCYi\n3hoRlwKPdVl8DwMD5e21TK6vp7Sglxoj4vPlEzc1F8G7qAys+aHbBRweEYdk5lMdPPQzgdbmz13s\nP9EFtQDnMNXabc3H+xvg65n5VERcAfwBcMnCn8UknawlN13MBzuXqswn/j3AuzPz7rKCuScizszM\nkcUMeArzWc+vV96Dg+mG92BRzbfeKH9FP5aZd0W09kbojvja/D7FpdDFTCLm8r3fzf7vfRU6/l5E\nxNOB36FoLaxKJ/FdClycmT9ZjM9dBzqJ8XnA6sy8JCKOAz4fESdkZhUtdJ3EdxXw6YjYAvy/FK3W\nB7WgiVdmvnK6bRGxg2KJ9l0U65nt7DDpAvhn4LCW+4u2HtoCnMMOoPVS0Grg/vKx720pv4WiiXKx\nE69O1pJ7hOK82veZ9lwqNJ/4af5Kz8zHI+Je4BSKvixVms96fr3yHkyrS96DRbUA9cavAt+PiHdR\nrEp9eEQ8lpkf6ZL4mvv+JrAiMy9biLgOYl7f+4p09L2IiEOBDwF/kJkPtG9fRAeNLyKeAxwODJWX\nuQHeERE3ZuY93RBjaRdwJ0Bm3h8Rq4GjmbpbQx3x/TXw3zLzmoh4JnB/RKzPzGlbrqu81HgDRbMd\nFBXvDVD0a4iIow92YNnMd2vZwXPS8RXr5By+APyrlmMGgc+V+13ZUn4cMLyo0Ra2As8tv/xQxh0R\nR0REs9Lad14R8bPAP2bmHg5yLhWaS/z3ZuaeiDgjIn655bGOpZrXvF0n5zCdXnkPptRF70GdZqw3\nMvO8zLyy7Gf1DYo+VwuSdC1EfOX93wPWZuZlEfGCsvVhscz5e7+IMc06xohYAfw5sCUz742Is7ol\nvsz8Xmae3fK5A3h/hUnXjDGWZV8CNgCUSdchFJf3uiW+5wDfL2//AGgwQ25V2ZJBsX/kzBjFi/ju\nzByPiJOA/5GZJ5X7/SrwRuD4svxPyvLmqMYHKLLdOkc1znQOv0XR5PgT4L7M/G9l+X+n+JX2eHl+\n78hpRjctcNwHrCVXXup8NDOvjIifouj0+TBF68plmflPBzuXKs01/oh4AcWllK8BR1GMqLu86vg7\nOYdyn/cAZwNfAf4mM28qy7v+PZgu/m56D+rSab1R7vu7FJfyHgQ+lJlf6Ib4ynr5I8D/prhMuYZi\nVPbtixjXnOutqnQQ4yeBE4GHKF63FZn5km6Jr9znmcA5wMUUl8n+PDO/P91jVh1jmWxdAWyneJ8/\nmZmf76L4TgHeTjHidwNwd84w8ty1GiVJkiriBKqSJEkVMfGSJEmqiImXJElSRUy8JEmSKmLiJUmS\nVBETL0mSpIqYeEmSJFXExEuSJKki/xfstyKVKW2CfwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cc10a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.pct_change().hist(figsize=(10, 6),\n",
    "                       color='blue', \n",
    "                       bins=100);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1999-01-04</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-05</th>\n",
       "      <td>0.017228</td>\n",
       "      <td>0.489248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-06</th>\n",
       "      <td>0.022138</td>\n",
       "      <td>-0.165317</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-07</th>\n",
       "      <td>-0.015723</td>\n",
       "      <td>0.256337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-08</th>\n",
       "      <td>-0.003120</td>\n",
       "      <td>0.021570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-11</th>\n",
       "      <td>-0.019593</td>\n",
       "      <td>0.103173</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-12</th>\n",
       "      <td>-0.012490</td>\n",
       "      <td>0.019496</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-13</th>\n",
       "      <td>-0.048535</td>\n",
       "      <td>0.056180</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-14</th>\n",
       "      <td>0.008648</td>\n",
       "      <td>-0.015214</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-15</th>\n",
       "      <td>0.017855</td>\n",
       "      <td>-0.011906</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            EUROSTOXX    VSTOXX\n",
       "Date                           \n",
       "1999-01-04        NaN       NaN\n",
       "1999-01-05   0.017228  0.489248\n",
       "1999-01-06   0.022138 -0.165317\n",
       "1999-01-07  -0.015723  0.256337\n",
       "1999-01-08  -0.003120  0.021570\n",
       "1999-01-11  -0.019593  0.103173\n",
       "1999-01-12  -0.012490  0.019496\n",
       "1999-01-13  -0.048535  0.056180\n",
       "1999-01-14   0.008648 -0.015214\n",
       "1999-01-15   0.017855 -0.011906"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "## fully vectorized calculation of log returns\n",
    "log_rets = np.log(data / data.shift(1))\n",
    "log_rets.ix[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ncr/X5udHplRt5UozV12VxuOPl7+B2cKFjt9kbztpL/wA5zy/f/9UFi1yvreU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\nxAiCIAiCIFIEKWIEQRAEQRAp4v8Bc26RLKMGXxIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ebb34d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "log_rets.plot(subplots=True,\n",
    "              figsize=(10, 6),\n",
    "              color='blue',\n",
    "              grid=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlation Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.735032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>VSTOXX</th>\n",
       "      <td>-0.735032</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           EUROSTOXX    VSTOXX\n",
       "EUROSTOXX   1.000000 -0.735032\n",
       "VSTOXX     -0.735032  1.000000"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_rets.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.73503163966378193"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_rets['EUROSTOXX'].corr(log_rets['VSTOXX'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DEhCZ1ZnkVmdjndNUA1WyytbWXkd57ZVEFIXWtMpe8jN33PMQg54rURSFSChA0/5nyS1c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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cce1e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## plot log returns as scatter plot\n",
    "log_rets.plot(x='EUROSTOXX', y='VSTOXX',\n",
    "              kind='scatter', figsize=(10, 6));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ea08850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DPLxeL8OHj6RRIyc/Z0REBMOGDS9Rd8eOHbz22ot07NgBEQGgdetWLFmyJODr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aUhk8nYtGkTnTp1IiAgQBJjACEhIXh5eXHmzBnOnz+Po6MjK1euZMGCBRiNxut8QPv374+1tXWL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\nU8n+P1j73aA1yrRfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ea08650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "log_rets = log_rets.dropna() # delete NaN values\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "plt.ioff()  # turn off interactive mode\n",
    "plt.set_cmap(mpl.cm.gray);  # set color map\n",
    "mpl_dates = mpl.dates.date2num(log_rets.index.to_pydatetime())  # conversion\n",
    "plt.figure(figsize=(10, 6));\n",
    "plt.scatter(log_rets['EUROSTOXX'], log_rets['VSTOXX'],\n",
    "            c=mpl_dates, marker='o');  # the actual plot\n",
    "plt.xlabel('EUROSTOXX');\n",
    "plt.ylabel('VSTOXX');\n",
    "# @savefig log_rets_scatter_2.pdf\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "        format=mpl.dates.DateFormatter('%d %b %y'));  # adding bar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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heIMpKNa+8OsNpkzLv+WpaHOyXLupJtdsepP7d3I7EcbUvQss0DQtFBtTB7wDhDVN61RV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\npNntO9TbwqqsXcIHla3ojVYK00WKy048gbb6reh0aGYR921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9bSw77dOYbU4iQT+NdU9h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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cd49750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## conduct linear regression\n",
    "p = np.polyfit(log_rets['EUROSTOXX'].values,\n",
    "               log_rets['VSTOXX'].values,\n",
    "               deg=1)  # the regression\n",
    "log_rets.plot(x='EUROSTOXX', y='VSTOXX',\n",
    "              kind='scatter', figsize=(10, 6));  # the actual plotting\n",
    "## plot the regression line\n",
    "plt.plot(log_rets['EUROSTOXX'], np.polyval(p, log_rets['EUROSTOXX']),\n",
    "         'r');  # adding the regression line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fN27OfKz7bllOKBQveIxU+gshFgOTqqBIuI9TkuH+v771Iivr3Ny9uRGL1cFg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\nKCOpdVFtk7MxLg9GaG908+47emp9ODUjwV2IPMUBqa0twOjobO52cbD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N1aEZtm0Kct8d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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11eeee0d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=log_rets['EUROSTOXX'], y=log_rets['VSTOXX'], \n",
    "              kind='reg', size=7);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data['CORR'] = log_rets['EUROSTOXX'].rolling(\n",
    "                window=252).corr(log_rets['VSTOXX'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aBYIh3PHnDwAAv0kyF1MbsjJZlKr/kHFYizLJOCyWiqkGlLuCoRAONHfBZ+gw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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e8cfad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "to_plot = data.dropna()  # drop NaN values\n",
    "plt.figure(figsize=(10, 6));\n",
    "plt.plot(data.index, data.CORR);\n",
    "# @savefig rolling_corr.pdf\n",
    "plt.ylabel('rolling yearly correlation');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Constant Proportion Investment Strategies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "del data['CORR']  # delete correlation data\n",
    "data = data.dropna()  # drop NaN values\n",
    "data = data / data.iloc[0] * 100  # normalization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1999-01-04</th>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-05</th>\n",
       "      <td>101.737744</td>\n",
       "      <td>163.108887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-06</th>\n",
       "      <td>104.015128</td>\n",
       "      <td>138.255152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-07</th>\n",
       "      <td>102.392538</td>\n",
       "      <td>178.651673</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-08</th>\n",
       "      <td>102.073608</td>\n",
       "      <td>182.547121</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             EUROSTOXX      VSTOXX\n",
       "Date                              \n",
       "1999-01-04  100.000000  100.000000\n",
       "1999-01-05  101.737744  163.108887\n",
       "1999-01-06  104.015128  138.255152\n",
       "1999-01-07  102.392538  178.651673\n",
       "1999-01-08  102.073608  182.547121"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "invest = 100  # initial investment\n",
    "cratio = 0.3  # VSTOXX ratio in the beginning\n",
    "## number of EURO STOXX (fictional) securities\n",
    "data['Equity'] = (1 - cratio) * invest / data['EUROSTOXX'][0]\n",
    "## number of VSTOXX (fictional) securities\n",
    "data['Volatility'] = cratio * invest / data['VSTOXX'][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data['Passive'] = (data['Equity'] * data['EUROSTOXX']\n",
    "                + data['Volatility'] * data['VSTOXX'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SyavA8VVjrgjrmiU7G1AG5QatHZiTlBXWeRKZ2KR9EI503tz8HgeaytlSvTWi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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ead0dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['EUROSTOXX', 'Passive']].plot(figsize=(10, 6), style=['--', '-']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "for i in range(1, len(data)):  # daily re-balancing\n",
    "    evalue = data['Equity'][i - 1] * data['EUROSTOXX'][i]\n",
    "    vvalue = data['Volatility'][i - 1] * data['VSTOXX'][i]\n",
    "    tvalue = evalue + vvalue  # total wealth  \n",
    "    data['Equity'][i] = (1 - cratio) * tvalue / data['EUROSTOXX'][i] \n",
    "    data['Volatility'][i] = cratio * tvalue / data['VSTOXX'][i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "      <th>Equity</th>\n",
       "      <th>Volatility</th>\n",
       "      <th>Passive</th>\n",
       "      <th>Active</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1999-01-04</th>\n",
       "      <td>100.00</td>\n",
       "      <td>100.00</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.30</td>\n",
       "      <td>100.00</td>\n",
       "      <td>100.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-05</th>\n",
       "      <td>101.74</td>\n",
       "      <td>163.11</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.22</td>\n",
       "      <td>120.15</td>\n",
       "      <td>120.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-06</th>\n",
       "      <td>104.02</td>\n",
       "      <td>138.26</td>\n",
       "      <td>0.78</td>\n",
       "      <td>0.25</td>\n",
       "      <td>114.29</td>\n",
       "      <td>116.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-07</th>\n",
       "      <td>102.39</td>\n",
       "      <td>178.65</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.21</td>\n",
       "      <td>125.27</td>\n",
       "      <td>125.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-01-08</th>\n",
       "      <td>102.07</td>\n",
       "      <td>182.55</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.21</td>\n",
       "      <td>126.22</td>\n",
       "      <td>126.03</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            EUROSTOXX  VSTOXX  Equity  Volatility  Passive  Active\n",
       "Date                                                              \n",
       "1999-01-04     100.00  100.00    0.70        0.30   100.00  100.00\n",
       "1999-01-05     101.74  163.11    0.83        0.22   120.15  120.15\n",
       "1999-01-06     104.02  138.26    0.78        0.25   114.29  116.54\n",
       "1999-01-07     102.39  178.65    0.86        0.21   125.27  125.48\n",
       "1999-01-08     102.07  182.55    0.86        0.21   126.22  126.03"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['Active'] = (data['Equity'] * data['EUROSTOXX']\n",
    "                + data['Volatility'] * data['VSTOXX'])\n",
    "np.round(data.head(), 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUROSTOXX</th>\n",
       "      <th>VSTOXX</th>\n",
       "      <th>Equity</th>\n",
       "      <th>Volatility</th>\n",
       "      <th>Passive</th>\n",
       "      <th>Active</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2015-12-22</th>\n",
       "      <td>90.72</td>\n",
       "      <td>123.80</td>\n",
       "      <td>7.22</td>\n",
       "      <td>2.27</td>\n",
       "      <td>100.65</td>\n",
       "      <td>936.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-23</th>\n",
       "      <td>92.76</td>\n",
       "      <td>111.25</td>\n",
       "      <td>6.96</td>\n",
       "      <td>2.49</td>\n",
       "      <td>98.31</td>\n",
       "      <td>922.28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-28</th>\n",
       "      <td>91.91</td>\n",
       "      <td>123.35</td>\n",
       "      <td>7.21</td>\n",
       "      <td>2.30</td>\n",
       "      <td>101.34</td>\n",
       "      <td>946.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-29</th>\n",
       "      <td>93.54</td>\n",
       "      <td>118.70</td>\n",
       "      <td>7.09</td>\n",
       "      <td>2.39</td>\n",
       "      <td>101.09</td>\n",
       "      <td>947.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-12-30</th>\n",
       "      <td>92.80</td>\n",
       "      <td>121.82</td>\n",
       "      <td>7.16</td>\n",
       "      <td>2.34</td>\n",
       "      <td>101.50</td>\n",
       "      <td>949.71</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            EUROSTOXX  VSTOXX  Equity  Volatility  Passive  Active\n",
       "Date                                                              \n",
       "2015-12-22      90.72  123.80    7.22        2.27   100.65  936.01\n",
       "2015-12-23      92.76  111.25    6.96        2.49    98.31  922.28\n",
       "2015-12-28      91.91  123.35    7.21        2.30   101.34  946.46\n",
       "2015-12-29      93.54  118.70    7.09        2.39   101.09  947.50\n",
       "2015-12-30      92.80  121.82    7.16        2.34   101.50  949.71"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.round(data.tail(), 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "1999-01-04    0.7\n",
       "1999-01-05    0.7\n",
       "1999-01-06    0.7\n",
       "1999-01-07    0.7\n",
       "1999-01-08    0.7\n",
       "dtype: float64"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['Volatility'] * data['VSTOXX'] / data['Active'])[:5]\n",
    "\n",
    "(data['Equity'] * data['EUROSTOXX'] / data['Active'])[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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WKpyHl3zYkGUCUFpR6nevw1n9Wl1KuERERETcKu+ZaHc6CLJYiQ45/D1gsDUYwCcJq1y/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\nau55rKHvE5HGO1SSzS/7lnKoJIcl6cv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ohBDN0CkSrucmPc6awvW8ueFdwNh7EMBhC6Ta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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11eca44d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['EUROSTOXX', 'Active']].plot(figsize=(10, 6), style=['--', '-']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "## re-initialize DataFrame\n",
    "data = data[['EUROSTOXX', 'VSTOXX']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from copy import deepcopy\n",
    "def vstoxx_strategy(cratio, start=data.index[0], end=data.index[-1]):\n",
    "    base = deepcopy(data[(data.index >= start) & (data.index <= end)])\n",
    "    invest = 100  # initial invest\n",
    "    base['Equity'] = (1 - cratio) * invest / base['EUROSTOXX'][0]\n",
    "    base['Volatility'] = cratio * invest / base['VSTOXX'][0]\n",
    "    for i in range(1, len(base)):  # daily re-balancing\n",
    "        evalue = base['Equity'][i - 1] * base['EUROSTOXX'][i]\n",
    "        vvalue = base['Volatility'][i - 1] * base['VSTOXX'][i]\n",
    "        tvalue = evalue + vvalue\n",
    "        base['Equity'][i] = (1 - cratio) * tvalue / base['EUROSTOXX'][i]\n",
    "        base['Volatility'][i] = cratio * tvalue / base['VSTOXX'][i]\n",
    "    base['Active'] = (base['Equity'] * base['EUROSTOXX']\n",
    "                + base['Volatility'] * base['VSTOXX'])  # wealth position\n",
    "    print(\"A con. VSTOXX ratio of %.2f yields a net perform. of %6.1f%%.\") \\\n",
    "            % (cratio, (base['Active'][-1] / base['Active'][0] - 1) * 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A con. VSTOXX ratio of 0.30 yields a net perform. of  849.7%.\n"
     ]
    }
   ],
   "source": [
    "vstoxx_strategy(0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A con. VSTOXX ratio of 0.40 yields a net perform. of 1231.9%.\n"
     ]
    }
   ],
   "source": [
    "vstoxx_strategy(0.4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A con. VSTOXX ratio of 0.00 yields a net perform. of   -7.2%.\n",
      "A con. VSTOXX ratio of 0.10 yields a net perform. of  151.5%.\n",
      "A con. VSTOXX ratio of 0.20 yields a net perform. of  445.4%.\n",
      "A con. VSTOXX ratio of 0.30 yields a net perform. of  849.7%.\n",
      "A con. VSTOXX ratio of 0.40 yields a net perform. of 1231.9%.\n",
      "A con. VSTOXX ratio of 0.50 yields a net perform. of 1408.7%.\n",
      "A con. VSTOXX ratio of 0.60 yields a net perform. of 1283.2%.\n",
      "A con. VSTOXX ratio of 0.70 yields a net perform. of  928.4%.\n",
      "A con. VSTOXX ratio of 0.80 yields a net perform. of  521.0%.\n",
      "A con. VSTOXX ratio of 0.90 yields a net perform. of  204.9%.\n",
      "A con. VSTOXX ratio of 1.00 yields a net perform. of   21.8%.\n"
     ]
    }
   ],
   "source": [
    "for cratio in np.arange(0, 1.01, 0.1):\n",
    "    vstoxx_strategy(cratio)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A con. VSTOXX ratio of 0.00 yields a net perform. of   21.3%.\n",
      "A con. VSTOXX ratio of 0.10 yields a net perform. of   47.9%.\n",
      "A con. VSTOXX ratio of 0.20 yields a net perform. of   72.4%.\n",
      "A con. VSTOXX ratio of 0.30 yields a net perform. of   92.2%.\n",
      "A con. VSTOXX ratio of 0.40 yields a net perform. of  105.0%.\n",
      "A con. VSTOXX ratio of 0.50 yields a net perform. of  109.2%.\n",
      "A con. VSTOXX ratio of 0.60 yields a net perform. of  104.3%.\n",
      "A con. VSTOXX ratio of 0.70 yields a net perform. of   91.1%.\n",
      "A con. VSTOXX ratio of 0.80 yields a net perform. of   71.2%.\n",
      "A con. VSTOXX ratio of 0.90 yields a net perform. of   46.9%.\n",
      "A con. VSTOXX ratio of 1.00 yields a net perform. of   20.8%.\n"
     ]
    }
   ],
   "source": [
    "for cratio in np.arange(0, 1.01, 0.1):\n",
    "    vstoxx_strategy(cratio, start='2013-1-1', end='2015-12-31')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:team@tpq.io\">team@tpq.io</a>\n",
    "\n",
    "**DX Analytics** |\n",
    "<a href=\"http://dx-analytics.com\">http://dx-analytics.com</a>\n",
    "\n",
    "**Quant Platform** |\n",
    "<a href=\"http://quant-platform.com\">http://quant-platform.com</a>\n",
    "\n",
    "**Python for Finance Books** |\n",
    "<a href=\"http://books.tpq.io\" target=\"_blank\">http://books.tpq.io</a>\n",
    "\n",
    "**Python for Finance Training** |\n",
    "<a href=\"http://training.tpq.io\" target=\"_blank\">http://training.tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
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